A:
Positive:
1 x 31143616911 x 2831237923 x 1354070383 x 3752243253 x 1230973913 x 3411131909 x 16314114831 x 20999
Negative:
-1 x -311436169-11 x -28312379-23 x -13540703-83 x -3752243-253 x -1230973-913 x -341113-1909 x -163141-14831 x -20999
Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 311,436,169, it is easier to work with a table - it's called factoring from the outside in.
We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.
| 1 | 311,436,169 | |
| -1 | -311,436,169 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 311,436,169.
Example:
1 x 311,436,169 = 311,436,169
and
-1 x -311,436,169 = 311,436,169
Notice both answers equal 311,436,169
With that explanation out of the way, let's continue. Next, we take the number 311,436,169 and divide it by 2:
311,436,169 ÷ 2 = 155,718,084.5
If the quotient is a whole number, then 2 and 155,718,084.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 311,436,169 | |
| -1 | -311,436,169 |
Now, we try dividing 311,436,169 by 3:
311,436,169 ÷ 3 = 103,812,056.3333
If the quotient is a whole number, then 3 and 103,812,056.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 311,436,169 | |
| -1 | -311,436,169 |
Let's try dividing by 4:
311,436,169 ÷ 4 = 77,859,042.25
If the quotient is a whole number, then 4 and 77,859,042.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 311,436,169 | |
| -1 | 311,436,169 |
If you did it right, you will end up with this table:
| 1 | 11 | 23 | 83 | 253 | 913 | 1,909 | 14,831 | 20,999 | 163,141 | 341,113 | 1,230,973 | 3,752,243 | 13,540,703 | 28,312,379 | 311,436,169 |
| -1 | -11 | -23 | -83 | -253 | -913 | -1,909 | -14,831 | -20,999 | -163,141 | -341,113 | -1,230,973 | -3,752,243 | -13,540,703 | -28,312,379 | -311,436,169 |
Here are some more numbers to try:
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